Factorization algebras are local-to-global objects that play a role in classical and quantum
field theory that is similar to the role of sheaves in geometry: they conveniently organize …

We study topological D-branes of type B in N= 2 Landau-Ginzburg models, focusing on the
case where all vacua have a mass gap. In general, tree-level topological string theory in the …

We examine the geometry of loop spaces in derived algebraic geometry and extend in
several directions the well-known connection between rotation of loops and the de Rham …

We define the triangulated category of relative singularities of a closed subscheme in a
scheme. When the closed subscheme is a Cartier divisor, we consider matrix factorizations …

Homotopy Batalin–Vilkovisky algebras Page 1 J. Noncommut. Geom. 6 (2012), 539–602 DOI
10.4171/JNCG/99 Journal of Noncommutative Geometry © European Mathematical Society …

This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based
on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011) …

Page 1 Instytut Matematyczny PAN New Series Homological Algebra of Semimodules and
Semicontramodules Page 2 tº Birkhäuser Page 3 Instytut Matematyczny Polskiej Akademii Nauk …

We extend the bar–cobar adjunction to operads and properads, not necessarily augmented.
Due to the default of augmentation, the objects of the dual category are endowed with a …

The concept of an abelian DG-category, introduced by the first-named author in arXiv:
2110.08237, unites the notions of abelian categories and (curved) DG-modules in a …

We define a deformation of the triply graded Khovanov–Rozansky homology of a link L
depending on a choice of parameters yc for each component of L, which satisfies link …